Question

The xy-plane divides the line joining the points (-1, 3, 4) and (2,-5,6).

• A. internally in the ratio $2:3$
• B. externally in the ratio $2:3$
• C. internally in the ratio $3:2$
• D. externally in the ratio $3:2$

Answer 1

The correct option is B externally in the ratio $2:3$

The ratio that xy-plane divides the line joining the points $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)=-z_1:z_2$

IF the result is positive, it divides internally otherwise externally

The ratio that xy-plane divides the line joining the points $(-1,3,4)$ and $(2,-5,6)=-4:6=-2:3$

i.e., It divides externally in the ratio $2:3$